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40529496 = 23371723617
BaseRepresentation
bin1001101010011…
…0111001011000
32211021010000110
42122212321120
540333420441
64004404320
71001331540
oct232467130
984233013
1040529496
1120972457
12116a66a0
138520867
145550320
153858b16
hex26a6e58

40529496 has 128 divisors (see below), whose sum is σ = 128148480. Its totient is φ = 10407936.

The previous prime is 40529477. The next prime is 40529497. The reversal of 40529496 is 69492504.

40529496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40529497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65380 + ... + 65996.

It is an arithmetic number, because the mean of its divisors is an integer number (1001160).

Almost surely, 240529496 is an apocalyptic number.

40529496 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40529496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64074240).

40529496 is an abundant number, since it is smaller than the sum of its proper divisors (87618984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40529496 is a wasteful number, since it uses less digits than its factorization.

40529496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 40529496 is about 6366.2780335138. The cubic root of 40529496 is about 343.4976216494.

The spelling of 40529496 in words is "forty million, five hundred twenty-nine thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 23 24 28 34 42 46 51 56 68 69 84 92 102 119 136 138 161 168 184 204 238 276 322 357 391 408 476 483 552 617 644 714 782 952 966 1173 1234 1288 1428 1564 1851 1932 2346 2468 2737 2856 3128 3702 3864 4319 4692 4936 5474 7404 8211 8638 9384 10489 10948 12957 14191 14808 16422 17276 20978 21896 25914 28382 31467 32844 34552 41956 42573 51828 56764 62934 65688 73423 83912 85146 99337 103656 113528 125868 146846 170292 198674 220269 241247 251736 293692 298011 340584 397348 440538 482494 587384 596022 723741 794696 881076 964988 1192044 1447482 1688729 1762152 1929976 2384088 2894964 3377458 5066187 5789928 6754916 10132374 13509832 20264748 40529496